摘要
本文证明了:如果X具有由弱仿紧(θ-加细)子集所组成的按序强遗传性闭包保持开复盖,且每一子集的边缘是α-弱仿紧的,则X是弱仿紧的(θ-加细的)。
In this paper, we prove that if X admits an order strongly hereditarily closure-preserving cover of metacompact (θ-refinable), open sets and the boundary of every set is α-metacompact, then X is metacompact(θ-refinable).
出处
《苏州大学学报(自然科学版)》
CAS
1992年第4期401-404,共4页
Journal of Soochow University(Natural Science Edition)
关键词
闭包保持和
θ加细性
弱仿紧
order strongly hereditarily, α-paracompct, α-metacompact, α-subparacompact.